论文标题

集团凸出结合镜头

Groupes convexes-cocompacts en rang supérieur

论文作者

Guichard, Olivier

论文摘要

凸 - 结合亚组在双曲线几何形状中是中心的,更普遍地在负弯曲中。 Labourie于2005年引入了“ Anosov”亚组的概念,该概念逐渐被证明是凸连接组的正确概括,尤其是在Kapovich,Leeb和Porti的工作之后。该曝光将审查这些组的不同筛查,强调与负曲率的平行(或差异),并将赋予其基本特性。

The convex-cocompact subgroups are central in hyperbolic geometry and more generally in negative curvature. Labourie introduced in 2005 the notion of 'Anosov' subgroup which proves progressively to be the right generalizations of convex-cocompact groups, especially after the works of Kapovich, Leeb and Porti. This exposé will review different caracteriations of those groups, emphasizing the parallel (or difference) with the negative curvature, and will give their basic properties.

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